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Finding the Fourth Proportional to 14,831.64, 22,253.02 and 7,711.42

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Solution

The fourth proportional to 14,831.64, 22,253.02 and 7,711.42 is: 11,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.64 : 22,253.02 = 7,711.42 : x
  2. Step 2: Convert to fraction form
    14,831.64/22,253.02 = 7,711.42/x
  3. Step 3: Cross multiply
    14,831.64x = 22,253.02 × 7,711.42
  4. Step 4: Simplify right side
    14,831.64x = 171,602,383.49
  5. Step 5: Solve for x
    x = 171,602,383.49/14,831.64
  6. Step 6: Final answer
    x = 11,570.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.